An extended general Hurwitz-Lerch zeta function as a Mathieu \((\mathbf a, \mathbf{\lambda})\)-series

DOI10.1016/j.aml.2011.03.040zbMath1228.11135OpenAlexW177091085MaRDI QIDQ540318

Tibor K. Pogány, Dragana Jankov, Ram Kishore Saxena

Publication date: 1 June 2011

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2011.03.040

zbMATH Keywords

bilateral bounding inequalityextended general Hurwitz-Lerch zeta functionMathieu \((a, \lambda)\)-series

Mathematics Subject Classification ID

Hurwitz and Lerch zeta functions (11M35)

Related Items (10)

Unnamed Item ⋮ Integral representations of the multi-parameter Hurwitz-Lerch zeta function and applications ⋮ Two-sided inequalities for the extended Hurwitz-Lerch zeta function ⋮ New results for Srivastava’s λ-generalized Hurwitz-Lerch Zeta function ⋮ Expansion formulas for an extended Hurwitz-Lerch zeta function obtained via fractional calculus ⋮ A note on integral representation of some generalized zeta functions and its consequences ⋮ Some difference equations for Srivastava's \({\lambda}\)-generalized Hurwitz-Lerch zeta functions with applications ⋮ An extension of the generalized Hurwitz-Lerch Zeta function of two variables ⋮ A new representation for Srivastava's \(\lambda\)-generalized Hurwitz-Lerch zeta functions ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Inequalities for the gamma function
• Sharp inequalities for the psi function and harmonic numbers
• Some families of Mathieu \(\mathbf a\)-series and alternating Mathieu \(\mathbf a\)-series
• Integral representation of Mathieu (a, λ)-series
• The best bounds in Gautschi's inequality

This page was built for publication: An extended general Hurwitz-Lerch zeta function as a Mathieu \((\mathbf a, \mathbf{\lambda})\)-series